Bose-Einstein Condensation and quasicrystals
- URL: http://arxiv.org/abs/2107.02901v1
- Date: Fri, 2 Jul 2021 12:30:39 GMT
- Title: Bose-Einstein Condensation and quasicrystals
- Authors: Moorad Alexanian and Vanik E. Mkrtchian
- Abstract summary: Large class of external quasicrystal potentials cannot sustain any type of Bose-Einstein condensates.
Supersolids do arise at $Dleq 2$ via Bose-Einstein condensates from infinitely long-range, nonlocal interparticle potentials.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: We consider interacting Bose particles in an external local potential. It is
shown that large class of external quasicrystal potentials cannot sustain any
type of Bose-Einstein condensates. Accordingly, at spatial dimensions $D\leq 2$
in such quasicrystal potentials a supersolid is not possible via Bose-Einstein
condensates at finite temperatures. The latter also hold true for the
two-dimensional Fibonacci tiling. However, supersolids do arise at $D\leq 2$
via Bose-Einstein condensates from infinitely long-range, nonlocal
interparticle potentials.
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